IDEAS home Printed from https://ideas.repec.org/a/igg/joris0/v1y2010i1p52-72.html
   My bibliography  Save this article

Numerical Studies on Reformulation Techniques for Continuous Network Design with Asymmetric User Equilibria

Author

Listed:
  • Michael Ferris

    (Rensselaer Polytechnic Institute, USA)

  • Henry X. Liu

    (University of Wisconsin-Madison, USA)

Abstract

In this article, we aim to find the most effective reformulation techniques to solve the MPCC (mathematical program with complementarity constraints) model that we proposed recently for continuous network design problems under asymmetric user equilibria. The MPCC model is based on a link-node nonlinear complementarity formulation for asymmetric user equilibria. By applying various reformulation techniques for the lower level nonlinear complementarity, the original bilevel formulation can be converted to a single level nonlinear programming problem. We show that certain reformulations are more effective than others to solve the proposed MPCC model. Recommendations are thus provided on how to choose a reformulation of the continuous network design problem that can be solved effectively and/or efficiently.

Suggested Citation

  • Michael Ferris & Henry X. Liu, 2010. "Numerical Studies on Reformulation Techniques for Continuous Network Design with Asymmetric User Equilibria," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 1(1), pages 52-72, January.
    • Handle: RePEc:igg:joris0:v:1:y:2010:i:1:p:52-72
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/joris.2010101304
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wilfredo Yushimito & Xuegang Ban & José Holguín-Veras, 2015. "Correcting the Market Failure in Work Trips with Work Rescheduling: An Analysis Using Bi-level Models for the Firm-workers Interplay," Networks and Spatial Economics, Springer, vol. 15(3), pages 883-915, September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:igg:joris0:v:1:y:2010:i:1:p:52-72. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Journal Editor (email available below). General contact details of provider: https://www.igi-global.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.